2. Find the domain for the following functions: x 4 3x a) b) c) √√x-7 x²+x-56 x²+4

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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### Problem 2: Finding the Domain of Given Functions

**Task:** Identify the domain for each of the following functions:

a) \(\frac{x}{\sqrt{x-7}}\)

b) \(\frac{4}{x^2 + x - 56}\)

c) \(\frac{3x}{x^2 + 4}\)

d) \(\frac{x^2 + 2x}{x - 9}\)

For each function, determine the set of all possible values of \(x\) for which the function is defined.
Transcribed Image Text:### Problem 2: Finding the Domain of Given Functions **Task:** Identify the domain for each of the following functions: a) \(\frac{x}{\sqrt{x-7}}\) b) \(\frac{4}{x^2 + x - 56}\) c) \(\frac{3x}{x^2 + 4}\) d) \(\frac{x^2 + 2x}{x - 9}\) For each function, determine the set of all possible values of \(x\) for which the function is defined.
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